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Finding the Fourth Proportional to 30,826.60, 42,540.60 and 16,679.38

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Solution

The fourth proportional to 30,826.60, 42,540.60 and 16,679.38 is: 23,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,826.60 : 42,540.60 = 16,679.38 : x
  2. Step 2: Convert to fraction form
    30,826.60/42,540.60 = 16,679.38/x
  3. Step 3: Cross multiply
    30,826.60x = 42,540.60 × 16,679.38
  4. Step 4: Simplify right side
    30,826.60x = 709,550,832.83
  5. Step 5: Solve for x
    x = 709,550,832.83/30,826.60
  6. Step 6: Final answer
    x = 23,017.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.